Results 21 to 30 of about 1,179 (268)
Polynomial multiple recurrence over rings of integers [PDF]
Ergodic Theory and Dynamical Systems, 2015 We generalize the polynomial Szemerédi theorem to intersective polynomials over the ring of integers of an algebraic number field, by which we mean polynomials having a common root modulo every ideal. This leads to the existence of new polynomial configurations in positive-density subsets of $\mathbb{Z}^{m}$ and strengthens and extends recent results ...
Robertson, Donald, Bergelson, Vitaly
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Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings [PDF]
Neutrosophic Sets and SystemsIn this paper, we have defined the concept of minimal units in finite two-fold fuzzy neutrosophic rings modulo integers as a generalization of classical elements of the group of units of the mentioned neutrosophic rings.
Raed Hatamleh, Ayman Hazaymeh
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Bounds for Coding Theory over Rings
Entropy, 2022 Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is
Niklas Gassner +3 more
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On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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IEEE Access, 2023 A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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Neutrosophic triplets in some neutrosophic rings
Cumhuriyet Science Journal, 2020 In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of ...
Doğukan Ozan, Yilmaz Çeven
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Trivial units for group rings over rings of algebraic integers [PDF]
Proceedings of the American Mathematical Society, 2005 Let G G be a nontrivial torsion group and R R be the ring of integers of an algebraic number field. The necessary and sufficient conditions are given under which R G RG has only trivial units.
Herman, Allen, Li, Yuanlin
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Rings of Integer-Valued Continuous Functions [PDF]
Transactions of the American Mathematical Society, 1961 During the past twenty years extensive work has been done on the ring C(X). The pioneer papers in the subject are [8] for compact X and [3] for arbitrary X. A significant part of this work has recently been summarized in the book [2]. Concerning the ring C(X, Z), very little has been written. This is natural, since C(X, Z) is less important in problems
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Tripotents: a class of strongly clean elements in rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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On structure of certain periodic rings and near-rings
International Journal of Mathematics and Mathematical Sciences, 2000 The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further ...
Moharram A. Khan
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